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Finding the Fourth Proportional to 1,086.52, 1,630.32 and 470.52

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Solution

The fourth proportional to 1,086.52, 1,630.32 and 470.52 is: 706.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.52 : 1,630.32 = 470.52 : x
  2. Step 2: Convert to fraction form
    1,086.52/1,630.32 = 470.52/x
  3. Step 3: Cross multiply
    1,086.52x = 1,630.32 × 470.52
  4. Step 4: Simplify right side
    1,086.52x = 767,098.17
  5. Step 5: Solve for x
    x = 767,098.17/1,086.52
  6. Step 6: Final answer
    x = 706.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.